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Finding the Fourth Proportional to 994.86, 1,490.94 and 500.76

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Solution

The fourth proportional to 994.86, 1,490.94 and 500.76 is: 750.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.86 : 1,490.94 = 500.76 : x
  2. Step 2: Convert to fraction form
    994.86/1,490.94 = 500.76/x
  3. Step 3: Cross multiply
    994.86x = 1,490.94 × 500.76
  4. Step 4: Simplify right side
    994.86x = 746,603.11
  5. Step 5: Solve for x
    x = 746,603.11/994.86
  6. Step 6: Final answer
    x = 750.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.